There is no reason to strip the old oil based paint from the walls. Once dry, oil based paint is nontoxic and pretty much, permanent.
If oilbased paint is applied to a hard surface, such as wood paneling or flooring, a heat gun can be used to blister and peel the paint from the surface. This is a very easy, but slow, solution.
Also, there are strippers which come as a paste and when applied, will blister the paint from the surface below and it can be easily lifted off. HOWEVER, not all strippers are the same. Some, after application and blistering of the paint, become nontoxic. Look for these products.
Read your labels and also ask you local paint store manager. They are a great help in finding these products.
Now, it seems that what you have is paint on drywall (also called "sheetrock") There, you will have a problem, as up until a few years ago, drywall was made covered with paper covering ( the new stuff is not, but still a problem).
Usually, drywall is primed and painted. Trying to peel the paint off will result in damaging your drywall and would require a lot of patching (not fun) or replacing of the drywall (which costs $)
Why do you want to strip the paint?
If there is a texturing problem, then it can be addressed a few ways. You can "texture" the surface with premade texturing products and then paint over that. You can also use a heavy knapped roller instead of a brush to apply paint, which will produce a soft texture on the wall, covering up problems.
Other that replacing the drywall and starting fresh with latex primer and latex paint, your only recourse is to paint the existing wall with a really good oil based primer (IT MUST BE OIL BASED) , and then cover with a latex paint, OR cover up the wall with paneling or wallpaper or fabric or some type of texturing product.
Hope your results are good and worth all the work.
